应数学系吴勃英教授邀请，美国普渡大学沈捷教授将于近日访问数学系并作报告。

报告题目：Fast Spectral-Galerkin Method: Algorithms, Analysis and Applications

报告时间：7月17日上午9:00-10:30

报告地点：格物楼503

报告摘要：In recent years, spectral methods have become increasingly popular among computational scientists and engineers because of their superior accuracy and efficiency when properly implemented.  In this talk, I shall present fast spectral-Galerkin algorithms for some prototypical partial differential equations. These spectral-Galerkin algorithms have computational complexities which are comparable to those of finite difference and finite element algorithms, yet they are capable of providing much more accurate results with a significantly smaller number of unknowns. A key ingredient for the efficiency and stability of the spectral-Galerkin algorithms is to use (properly defined) generalized Jacobi polynomials as basis functions.

    I shall  illustrate applications of these fast spectral-Galerkin algorithms to a number of scientific and engineering problems, including fractional PDEs, nonlinear wave equations, acoustic scattering and mutli-phase flows.

报告人简介：沈捷教授，美国普渡大学数学系教授。1982年毕业于北京大学计算数学专业，随后赴法国巴黎十一大学研究数值分析，师从国际著名数学大师R.TEMAM,1987年获得博士学位后赴美在Indiana University从事博士后研究。沈捷教授是国际著名的数值数学家，主要从事偏微分方程数值解研究，特别在谱方法数值分析理论和科学计算方面有杰出贡献，同时在海洋和大气动力系统以及材料科学计算方面也有很深的造诣，经常在重要国际学术会议上作大会主报告。 2008年沈捷教授因在微分方程研究中的卓越贡献获得富布赖特奖。沈捷教授长期从事偏微分方程数值解的研究，尤其在谱方法和投影法上有很多杰出的工作，在SIAM.J.Numer.Anal., SIAM.J.Sci.Comput., Numer.Math.，Math.Comp.等国际著名期刊上发表学术论文100余篇。